Question
A uniform rope of length L and mass m1 hangs vertically from a rigid support. A block of mass m2 is attached to the free end of the rope. A transverse pulse of wavelength 
is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is 
. The ratio 
is,
Solution
A.
Wavelength of the transverse pulse is,
... (i);
where v is the velocity of the wave and f is the frequency of the wave.
We know that,
T is the tension in the spring
is the mass per unit length of the rope
From eqns. (i) and (ii), we have
For two different cases, we have
